## Calculus with Applications (10th Edition)

$\displaystyle \frac{3}{4}$
The aim is, step by step, to isolate x on one side of the equation. Add 3x to both sides and the right side will have no x's Subtract 2 from both sides and the left side will contain only x's. $5x+2=8-3x\qquad ... /+3x-2$ $5x+3x=8-2\qquad$... simplify $8x=6\qquad$divide both sides by 8 to isolate x $8x=6\qquad$ .../$\div$8 $x=\displaystyle \frac{6}{8}=\frac{3}{4}$ Solution: $\displaystyle \frac{3}{4}$